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Finding the Third Proportional to 247,949 and 537,100

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Solution

The third proportional to 247,949 and 537,100 is: 1,163,450.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,949 : 537,100 = 537,100 : x
  2. Step 2: Convert to fraction form
    247,949/537,100 = 537,100/x
  3. Step 3: Cross multiply
    247,949x = 537,100 × 537,100
  4. Step 4: Simplify right side
    247,949x = 288,476,410,000
  5. Step 5: Solve for x
    x = 288,476,410,000/247,949
  6. Step 6: Final answer
    x = 1,163,450.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.